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"@vprusso" ], "date": "2026-09-24", "found_at_samples": 50000000, "tool": "ris_gpu recover, pair depth 8", "seeds": [ 201 ], "survived_samples": 50000000 } }, "Z": { "value": 83, "confidence": "upper_bound", "witness": [ 1, 5, 7, 16, 20, 21, 23, 46, 51, 65, 67, 73, 74, 76, 98, 108, 121, 122, 129, 130, 140, 142, 144, 145, 146, 150, 151, 152, 154, 155, 164, 171, 179, 180, 181, 197, 201, 202, 224, 226, 239, 244, 248, 250, 253, 256, 259, 261, 274, 275, 284, 296, 297, 320, 323, 324, 335, 340, 343, 345, 354, 367, 376, 379, 408, 410, 414, 422, 427, 435, 443, 460, 477, 485, 497, 508, 512, 519, 524, 527, 538, 543, 546 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-24", "found_at_samples": 50000000, "tool": "ris_gpu recover, pair depth 8", "seeds": [ 201 ], "survived_samples": 50000000 } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Cyclic generalized-bicycle code on the ring x^278 - 1 with a(x) = x^75 + x^81 + x^128 + x^134 + x^138 + x^141 + x^159 + x^201 + x^218 + x^221 + x^236 + x^243, b(x) = x^62 + x^177 + x^193 + x^229 + x^236 + x^275; H_X = [circ(a) | circ(b)], H_Z = [circ(b)^T | circ(a)^T].", "origin": "submission", "novelty": "known_parameters", "model": "Claude Opus 5", "date": "2026-09-24", "notes": "Found by a randomized sweep over sparse polynomial pairs, screened against the live board before any expensive work. Checked for single-block logicals via the ideal generated by (x^m - 1)/gcd(a, x^m - 1) before the distance was believed." }, "family": "generalized-bicycle" }